code: def test_min_max_ordered(self, index_or_series_or_array):
      cat = Categorical(["a", "b", "c", "d"], ordered=True)
      obj = index_or_series_or_array(cat)
      _min = obj.min()
      _max = obj.max()
      assert _min == "a"
      assert _max == "d"
  
      assert np.minimum.reduce(obj) == "a"
      assert np.maximum.reduce(obj) == "d"
      # TODO: raises if we pass axis=0  (on Index and Categorical, not Series)
  
      cat = Categorical(
          ["a", "b", "c", "d"],
          categories=["d", "c", "b", "a"],
          ordered=True,
      )
      obj = index_or_series_or_array(cat)
      _min = obj.min()
      _max = obj.max()
      assert _min == "d"
      assert _max == "a"
      assert np.minimum.reduce(obj) == "d"
      assert np.maximum.reduce(obj) == "a"
  
imports: import re
  import sys
  import numpy
  import pytest
  from pandas.compat import PYPY
  from pandas import Categorical, CategoricalDtype, DataFrame, Index, NaT, Series, date_range
  import pandas._testing
  from pandas.api.types import is_scalar
label_desc: Use image node_id 2 for calling the TestCategoricalAnalytics obj's underlying member method code with example usage: obj.test_min_max_ordered(index_or_series_or_array) without return types